Article ID Journal Published Year Pages File Type
4585330 Journal of Algebra 2013 31 Pages PDF
Abstract

We construct a commutative version of the group ring and show that it allows one to translate questions about the normal generation of groups into questions about the generation of ideals in commutative rings. We demonstrate this with an alternative proof of a result about the normal generation of the free product of two cyclic groups.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory